differentiate the given function, simplify your answer by leaving no negative or rational exponents. final answer should be in factored form where possible.

Question

y=(x^2 +2x)^3(x+2)

Answer 1

y = (x^2 +2x)^3(x+2) = x^3(x+2)^4
y' = 3x^2 (x+2)^4 + x^3 * 4(x+2)^3 * 1
= x^2(x+2)^3 (3(x+2) + 4x)
= x^2(x+2)^3(7x+6)